961688 has 32 divisors (see below), whose sum is σ = 2220960. Its totient is φ = 380160.

The previous prime is 961687. The next prime is 961691. The reversal of 961688 is 886169.

961688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68 + ... + 1388.

It is an arithmetic number, because the mean of its divisors is an integer number (69405).

2⁹⁶¹⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110480).

961688 is an abundant number, since it is smaller than the sum of its proper divisors (1259272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

961688 is a wasteful number, since it uses less digits than its factorization.

961688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1343 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The square root of 961688 is about 980.6569226799. The cubic root of 961688 is about 98.7062680899.

The spelling of 961688 in words is "nine hundred sixty-one thousand, six hundred eighty-eight".